No. If anything, they should chip in and treat you.
It would be a really weird "surprise" to find yourself invited out and then everyone expects you to pay.

That's the custom among my circle of friends - the birthday boy/birthday girl will never pay. It's the least we can do, since at our age it isn't usual to get presents anymore (unless your birthday age ends in a zero).

And a lean, silent figure slowly fades into the gathering darkness, aware at last that in this world, with great power there must also come -- great responsibility!